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Finding the Fourth Proportional to 315.88, 475.99 and 313.24

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Solution

The fourth proportional to 315.88, 475.99 and 313.24 is: 472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.88 : 475.99 = 313.24 : x
  2. Step 2: Convert to fraction form
    315.88/475.99 = 313.24/x
  3. Step 3: Cross multiply
    315.88x = 475.99 × 313.24
  4. Step 4: Simplify right side
    315.88x = 149,099.11
  5. Step 5: Solve for x
    x = 149,099.11/315.88
  6. Step 6: Final answer
    x = 472.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.